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Finding the Fourth Proportional to 9,246.40, 13,871.80 and 3,006.44

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Solution

The fourth proportional to 9,246.40, 13,871.80 and 3,006.44 is: 4,510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.40 : 13,871.80 = 3,006.44 : x
  2. Step 2: Convert to fraction form
    9,246.40/13,871.80 = 3,006.44/x
  3. Step 3: Cross multiply
    9,246.40x = 13,871.80 × 3,006.44
  4. Step 4: Simplify right side
    9,246.40x = 41,704,734.39
  5. Step 5: Solve for x
    x = 41,704,734.39/9,246.40
  6. Step 6: Final answer
    x = 4,510.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.